Find Amplitude, Period, and Phase Shift y=4cos(x-pi/2)

Problem

y=4*cos(x−π/2)

Solution

1. Identify the standard form of the cosine function, which is y=A*cos(B*(x−C))+D

2. Determine the amplitude by taking the absolute value of the coefficient A

|A|=|4|

3. Calculate the period using the formula P=(2*π)/|B| where B is the coefficient of x

B=1

P=(2*π)/1

4. Identify the phase shift C from the horizontal displacement within the argument of the cosine function.

x−C=x−π/2

C=π/2

Final Answer

Amplitude=4,Period=2*π,Phase Shift=π/2

Want more problems? Check here!